On the Mackey formula for connected centre groups

DOI10.1515/JGTH-2018-0006zbMath1431.20032arXiv1707.04773OpenAlexW2738096123WikidataQ129985544 ScholiaQ129985544MaRDI QIDQ1748037

Jay Taylor

Publication date: 2 May 2018

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.04773

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Representations of finite groups of Lie type (20C33)

Related Items (6)

Inductive blockwise Alperin weight condition for type \(\mathsf{B}\) and odd primes ⋮ Morita equivalence classes of tame blocks of finite groups ⋮ Galois group action and Jordan decomposition of characters of finite reductive groups with connected center ⋮ Mackey formula for bisets over groupoids ⋮ On \(e\)-cuspidal pairs of finite groups of exceptional Lie type ⋮ Towards the Eaton-Moretó conjecture on the minimal height of characters

Uses Software

• CHEVIE
• Unnamed Item

Cites Work

• Unnamed Item
• Computational proof of the Mackey formula for \(q>2\).
• Duality for representations of a reductive group over a finite field. II
• Intersection cohomology complexes on a reductive group
• Representations of reductive groups over finite fields
• Mackey formula for large \(q\)
• The development version of the \texttt{CHEVIE} package of \texttt{GAP3}.
• Induced Unipotent Classes
• Mackey formula in type A
• Quasi-Isolated Elements in Reductive Groups

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